2271284964 has 135 divisors (see below), whose sum is σ = 6354879167. Its totient is φ = 683987616.

The previous prime is 2271284933. The next prime is 2271284999. The reversal of 2271284964 is 4694821722.

2271284964 = T₁₉₂ + T₁₉₃ + ... + T₂₃₈₈.

The square root of 2271284964 is 47658.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1126139364 + 1145145600 = 33558^2 + 33840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48325189 + ... + 48325235.

Almost surely, 2^2271284964 is an apocalyptic number.

2271284964 is the 47658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271284964

2271284964 is an abundant number, since it is smaller than the sum of its proper divisors (4083594203).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2271284964 is an equidigital number, since it uses as much as digits as its factorization.

2271284964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 65 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The cubic root of 2271284964 is about 1314.4897641215.

The spelling of 2271284964 in words is "two billion, two hundred seventy-one million, two hundred eighty-four thousand, nine hundred sixty-four".